Evaluate 5 square root of 27

$5 \sqrt{27}$

Step 1

Rewrite $27$ as $3^{2} \cdot 3$ .

Factor $9$ out of $27$ .

$5 \sqrt{9 (3)}$

Rewrite $9$ as $3^{2}$ .

$5 \sqrt{3^{2} \cdot 3}$

$5 \sqrt{3^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$5 (3 \sqrt{3})$

Step 3

Multiply $3$ by $5$ .

$15 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$15 \sqrt{3}$

Decimal Form:

$25.98076211 \dots$

Related Questions